Choose two matrices A and B with dimension 2 x 2. Calculate det A, det B, and

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Choose two matrices A and B with dimension 2 x 2. Calculate det A, det B, and det (AB). Repeat this process until you are able to discover how these three determinants are related. Summarize your results.

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Lets consider the following matrices Matrix A a b c d Matrix B e f g h To calculate the determinants well use the formula for a 2x2 matrix det A ad bc det B eh fg det AB ae bgcf dh af bhce dg Lets calculate the determinants step by step det A ad bc det B eh fg det AB ae bgcf dh af bhce dg Now lets summarize the results The determinant ...View the full answer

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